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Oliga [24]
2 years ago
13

For a trip, Evelyn packed 6 blouses, 5 pairs of shorts, 3 pairs of jeans, and 1 skirt. Find the ratio of pairs of jeans to the t

otal number of pieces of clothing Evelyn packed.
Mathematics
1 answer:
IrinaVladis [17]2 years ago
6 0
The answer is 3:12 if in total number of pieces of clothing Evelyn packed includes the jeans then it would be 3:15
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Es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has
Troyanec [42]

The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer

Step-by-step explanation:

In a regular n-side polygon:

  • All sides are equal in lengths
  • All angles are equal in measure
  • The measure of each interior angle = \frac{(n-2)*180}{n}
  • The measure of each exterior angle = \frac{360}{n}
  • The sum of interior angle and exterior angle at a vertex is 180°

∵ The measure of an interior angle of a regular polygon is 120°

∵ The sum of interior angle and exterior angle at a vertex = 180°

∴ The measure of each exterior angle = 180 - 120

∴ The measure of each exterior angle = 60°

∵ The measure of each exterior angle = \frac{360}{n}

- Substitute the measure of the exterior angle by 60

∴ 60=\frac{360}{n}

- By using cross multiplication

∴ 60 n = 360

- Divide both sides by 60

∴ n = 6

∴ The polygon has 6 sides

The measure of each exterior angle is 60° and the polygon has 6 sides

Learn more:

You can learn more about polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0
3 years ago
How do i do question 3 a b c
viva [34]

Answer:

a) 240°

b) 30°

c) 225°

Step-by-step explanation:

To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of <em>sin</em> is <em>arcsin</em>, and the inverse of <em>tan </em>is <em>arctan. </em>Instead of giving an angle, what is its sine?, the question is: given a sine,  what is the angle?.

a)

sin(θ) = -√3/2

θ = arcsin(-√3/2)

θ = -60°

Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).

b)

tan(θ) = 1/√3

θ = arctan(1/√3)

θ = 30°

c)

csc means cosecant, by definition:

csc(θ) = 1/sin(θ)

csc(θ) = -√2

1/sin(θ) = -√2

sin(θ) = -1/√2

θ = arcsin(-1/√2)

θ = -45° or 360-45 = 315° or 180+45 = 225°

3 0
3 years ago
Are the following lines parallel perpendicular or neither: x=6 and x=12
suter [353]

Answer:

Not Parallel

Step-by-step explanation:

I think so sorry If I'm wrong

5 0
3 years ago
How to solve x^2+x-90=0 in completing the square method​
tigry1 [53]

Rearrange the equation by writing

x² + x - 90 = 0

x² + x = 90

x² + x + 1/4 = 90 + 1/4

Recall that (a + b)² = a² + 2ab + b². Then

x² + 2 • x/2 + (1/2)² = 361/4

(x + 1/2)² = 361/4

x + 1/2 = ± √(361/4)

x = -1/2 ± 19/2

x = 9   or   x = -10

3 0
2 years ago
The coordinates of the image of line segment RT are R'(-2,-4) and T'(4.4). The image was produced by a dilation with a scale fac
Daniel [21]

Given the coordinates of the image of line segment RT to be R'(-2,-4) and T'(4.4), if the image produced was dilated by a scale factor of 12 centered at the origin, to get the coordinate of the end point, we will simply multiply the x and y coordinates of by the factor of 12 as shown:

For R' with coordinate R'(-2,-4), the coordinates of endpoint of the pre-image will be:

R = 12R'

R = 12(-2, -4)

R = (-24, -48)

For T' with coordinate T'(4,4), the coordinates of endpoint of the pre-imagee will be:

T = 12T'

T = 12(4, 4)

T = (48, 48)

Hence the coordinate of the endpoint of the preimage will be at R(-24, -48) and T(48, 48)

6 0
1 year ago
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